SOLUTION: {{{ g(x)=(x+5)^2 }}}, find all values of x for which g(x)=15

Question 692538: , find all values of x for which g(x)=15
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=60 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -1.12701665379258, -8.87298334620742. Here's your graph:

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